Consider the following information for stocks A, B, and C. The returns on the three stocks are positively correlated, but they are not perfectly correlated. (That is, each of the correlation coefficients is between 0 and 1.)
Stock | Expected Return | Standard Deviation | Beta | ||
A | 7.25% | 14% | 0.7 | ||
B | 8.25 | 14 | 1.1 | ||
C | 9.25 | 14 | 1.5 |
Fund P has one-third of its funds invested in each of the three stocks. The risk-free rate is 5.5%, and the market is in equilibrium. (That is, required returns equal expected returns.)
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Expected Return = Risk free rate + beta*Market risk premium
Using Stock A,
7.25% = 5.5% + 0.7*Market Risk premium
Market Risk premium = 2.5%
b.Beta of Fund P is equal to weighted average beta
= 0.7*1/3 + 1.1*1/3 + 1.5*1/3
= 1.1
c.Required return = 5.5% + 1.1*2.5%
= 8.25%
d. I. Less than 14%
since the stocks are not perfectly correlated, some risk will be diversified away
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